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Finding the Fourth Proportional to 258,305.04, 387,457.02 and 71,316

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Solution

The fourth proportional to 258,305.04, 387,457.02 and 71,316 is: 106,973.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,305.04 : 387,457.02 = 71,316 : x
  2. Step 2: Convert to fraction form
    258,305.04/387,457.02 = 71,316/x
  3. Step 3: Cross multiply
    258,305.04x = 387,457.02 × 71,316
  4. Step 4: Simplify right side
    258,305.04x = 27,631,884,838.32
  5. Step 5: Solve for x
    x = 27,631,884,838.32/258,305.04
  6. Step 6: Final answer
    x = 106,973.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.